Question
(a) If a drop of liquid has capacitance 1.00 $\mathrm{pF}$ , what is its radius? (b) If another drop has radius $2.00 \mathrm{mm},$ what is its capacitance? (c) What is the charge on the smaller drop if its potential is 100 $\mathrm{V} ?$
Step 1
Step 1: We know that the capacitance of a spherical conductor is given by the formula: \[C = 4\pi\epsilon_0R\] where \(\epsilon_0\) is the permittivity of free space and \(R\) is the radius of the sphere. Show more…
Show all steps
Your feedback will help us improve your experience
Mayukh Banik and 66 other Physics 102 Electricity and Magnetism educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
(a) It a drop of liquid has capacitance $1.00 \mathrm{pF}$, what 15 its radius? (b) If another drop has radius $2.00 \mathrm{~mm}$, what is its capacitance? (c) What is the charge on the smaller drop if its potential is $100 \mathrm{~V} ?$
What is the capacitance of a drop that results when two mercury spheres, each of radius $R=2.00 \mathrm{mm},$ merge?
A spherical drop of mercury of radius R has a capacitance given by C = 4πε₀R. If two such drops combine to form a single larger drop, the capacitance of the new drop is: a. 2πε₀R b. 7.07πε₀R c. 8πε₀R d. 5.04πε₀R e. 4πε₀R
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD